Q.

Statement - I : If the length of the conductor is doubled, the drift velocity will become half of the original value. (keeping potential difference unchanged).
Statement – II At constant potential difference, drift velocity is inversely proportional to the length of the conductor

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a

Statement-I is incorrect and statement-II is correct

b

Both statements I and II are correct

c

Both statements I and II are incorrect

d

Statement-I is correct and statement-II is incorrect

answer is A.

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Detailed Solution

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We know that in a conductor, J=neVd​ or Vd=IneA

I = V/R​ and R = ρl​/A

So, the value of drift velocity becomes Vd=V(neρ)l..........(1)

From eq. 1 we can see Vd​ is inversely related to length l because voltage is given constant.

So, Vd​  1/L


Therefore, if we double the length of the conductor then it's drift velocity becomes half.

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